Speckle-imaging signal-to-noise performance as a function of frame integration time

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

In the past 10 years astronomical image reconstruction based on a variety of speckle techniques have become popular means of enhancing and improving the resolution of turbulence degraded images. These techniques are based on the Fourier processing of a large number of turbulence degraded 'snapshots' or frames of the intensity in the system's image plane. The number of snapshots needed is largely a function of the signal-to-noise ratio (SNR) of the Fourier components of a single snapshot. This paper describes and presents results from a detailed SNR analysis of estimating the modulus of an object's Fourier spectrum from turbulence distorted images. Unlike previous analyses, the work presented in this paper takes into account the proper temporal correlation properties of the atmosphere, the spatial frequency being estimated, as well as the inter-frame correlations that degrade the SNR improvement factor from the ideal case of (root)m.

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